Theoretical studies on the anomalous response to external fields in strongly correlated organic crystals

我们研究了低维的强关联电子系统，它是由几个对磁场或电场做出反常响应的有机系统激发的。研究了五个不同的主题；(1)提出了在各向异性三角晶格上强关联电子系统中的10+1维金属；(2)构造了一个广义的von Neumann定理，使设计具有狄拉克点的多带系统成为可能；(3)证明了与局域自旋耦合的一维四分之一填充强关联电子系统产生了对磁场敏感的受阻磁场；(4)根据量子电偶极子图像，阐明了二聚体Mott绝缘体中反常介电性质κ-Et_2Cu2(CN)_3的起源。(5)提出了一维有隙自旋系统中场诱导Tomonaga-Luttinger液态场的普遍温度依赖关系，并在有机晶体DIMPY中进行了验证。因此，电子的强关联导致了各种奇异的量子多体态。

We studied the low-dimensional strongly correlated electronic systems, motivated by several organic systems which respond anomalously to the magnetic or electric field. Five different topics are studied ; (1) an expotic1○!+1 dimensional metal in strongly correlated electronic system on an anisotropic triangular lattice is proposed, (2) a generalized von Neumann theorem is constructed which enables to design multi-band systems with Dirac points, (3) The one-dimensional quarter-filled strongly correlated electronic system coupled to localized spins is shown to produce frustrated magnetism which respond sensitive to magnetic field, (4) the origin of an anomalous dielectric properties in the dimer Mott insulator, κ-ET_2Cu_2(CN)_3, is clarified based on the quantum electric dipole picture, (5) universal temperature dependence of field induced Tomonaga-Luttinger liquid state in one dimensional gapped spin system is proposed and examined in organic crystal, DIMPY.Thus, the strong correlation of electrons results in various exotic quantum many body states.